Mathematical Modeling: A Chemical Engineer's PerspectiveMathematical modeling is the art and craft of building a system of equations that is both sufficiently complex to do justice to physical reality and sufficiently simple to give real insight into the situation. Mathematical Modeling: A Chemical Engineer's Perspective provides an elementary introduction to the craft by one of the century's most distinguished practitioners. Though the book is written from a chemical engineering viewpoint, the principles and pitfalls are common to all mathematical modeling of physical systems. Seventeen of the author's frequently cited papers are reprinted to illustrate applications to convective diffusion, formal chemical kinetics, heat and mass transfer, and the philosophy of modeling. An essay of acknowledgments, asides, and footnotes captures personal reflections on academic life and personalities.
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From inside the book
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... present volume. Of course, the logic of the subject is much the same, for this is dictated by its nature, but the emphases are slightly different. For instance, in the earlier book, much was made of hierarchies of models, which are ...
... present a dogmatic statement on modeling and proceed to consider an elementary example, returning later to the philosophical caveats and more general considerations. A mathematical model is a representation, in mathematical terms, of ...
... present in Da but in no other parameter. We perform a quick computation of the conversion (%) and time to reach 99% of steady state (min), for U = 0, 6 = 12 s, and k = 6.2 x 10" exp - 14000/T s” (this last datum is a rate constant taken ...
... present. Let F(u)= f(cfu)/f(c). (111) Then (d/dx)(x*(du/dx)) = p^x°F(u), (112) and at x = 1 du/dx + vu = v, (113) where * = R*f(c)/Dct, w = k R/D. (114) A second-order equation demands two boundary conditions, and symmetry supplies the ...
... present the simplest version here as it shows the principle of the modification most clearly. Example 12. The Bubbling Fluidized Bed Consider the reaction A — B taking place in the dense, or particulate, phase of a bubbling bed of ...
Contents
MATTER | 105 |
MISCELLANEA | 417 |
BIBLIOGRAPHY | 455 |
INDEX OF GRADUATE STUDENTS AND COAUTHORS | 467 |
SUBJECT INDEX TO THE PAPERS IN THE BIBLIOGRAPHY | 469 |
INDEX | 473 |